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Question
Find two numbers whose sum is 27 and product is 182.
Solution
Sum of numbers = 27
Product of numbers = 182
Let first number = x
Second number = x + 1
Product of both the numbers = 182
x(27 - x) = 182
27x - x2 = 182
-x2 + 27x - 182 = 0
x2 - 27x + 182 = 0
x2 - 14x - 13x + 182 = 0
x(x - 14) - 13(x - 14) = 0
(x - 14)(x - 13) = 0
x - 14 = 0 and x - 13 = 0
x = 14 and x = 13
First number = x = 13
Second number = x + 1 = 13 + 1 = 14
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